Iteration: 1, Log-Lik: -4778.313, Max-Change: 0.57868Iteration: 2, Log-Lik: -4634.450, Max-Change: 0.38184Iteration: 3, Log-Lik: -4603.079, Max-Change: 0.22119Iteration: 4, Log-Lik: -4593.321, Max-Change: 0.17973Iteration: 5, Log-Lik: -4590.034, Max-Change: 0.14836Iteration: 6, Log-Lik: -4588.821, Max-Change: 0.12902Iteration: 7, Log-Lik: -4588.057, Max-Change: 0.05690Iteration: 8, Log-Lik: -4587.981, Max-Change: 0.04352Iteration: 9, Log-Lik: -4587.946, Max-Change: 0.03569Iteration: 10, Log-Lik: -4587.905, Max-Change: 0.01486Iteration: 11, Log-Lik: -4587.903, Max-Change: 0.00495Iteration: 12, Log-Lik: -4587.903, Max-Change: 0.00196Iteration: 13, Log-Lik: -4587.902, Max-Change: 0.00196Iteration: 14, Log-Lik: -4587.902, Max-Change: 0.00285Iteration: 15, Log-Lik: -4587.902, Max-Change: 0.00040Iteration: 16, Log-Lik: -4587.902, Max-Change: 0.00034Iteration: 17, Log-Lik: -4587.902, Max-Change: 0.00022Iteration: 18, Log-Lik: -4587.902, Max-Change: 0.00022Iteration: 19, Log-Lik: -4587.902, Max-Change: 0.00104Iteration: 20, Log-Lik: -4587.902, Max-Change: 0.00098Iteration: 21, Log-Lik: -4587.902, Max-Change: 0.00019Iteration: 22, Log-Lik: -4587.902, Max-Change: 0.00019Iteration: 23, Log-Lik: -4587.902, Max-Change: 0.00092Iteration: 24, Log-Lik: -4587.902, Max-Change: 0.00087Iteration: 25, Log-Lik: -4587.902, Max-Change: 0.00023Iteration: 26, Log-Lik: -4587.902, Max-Change: 0.00081Iteration: 27, Log-Lik: -4587.902, Max-Change: 0.00016Iteration: 28, Log-Lik: -4587.902, Max-Change: 0.00015Iteration: 29, Log-Lik: -4587.902, Max-Change: 0.00076Iteration: 30, Log-Lik: -4587.901, Max-Change: 0.00014Iteration: 31, Log-Lik: -4587.901, Max-Change: 0.00014Iteration: 32, Log-Lik: -4587.901, Max-Change: 0.00071Iteration: 33, Log-Lik: -4587.901, Max-Change: 0.00068Iteration: 34, Log-Lik: -4587.901, Max-Change: 0.00017Iteration: 35, Log-Lik: -4587.901, Max-Change: 0.00063Iteration: 36, Log-Lik: -4587.901, Max-Change: 0.00013Iteration: 37, Log-Lik: -4587.901, Max-Change: 0.00012Iteration: 38, Log-Lik: -4587.901, Max-Change: 0.00059Iteration: 39, Log-Lik: -4587.901, Max-Change: 0.00011Iteration: 40, Log-Lik: -4587.901, Max-Change: 0.00011Iteration: 41, Log-Lik: -4587.901, Max-Change: 0.00056Iteration: 42, Log-Lik: -4587.901, Max-Change: 0.00053Iteration: 43, Log-Lik: -4587.901, Max-Change: 0.00013Iteration: 44, Log-Lik: -4587.901, Max-Change: 0.00050Iteration: 45, Log-Lik: -4587.901, Max-Change: 0.00011Iteration: 46, Log-Lik: -4587.901, Max-Change: 0.00009

Call:
multipleGroup(data = irt_data_4, model = 1, group = group_4)

Full-information item factor analysis with 1 factor(s).
Converged within 1e-04 tolerance after 46 EM iterations.
mirt version: 1.41 
M-step optimizer: BFGS 
EM acceleration: Ramsay 
Number of rectangular quadrature: 61
Latent density type: Gaussian 

Log-likelihood = -4587.901
Estimated parameters: 48 
AIC = 9271.803
BIC = 9508.09; SABIC = 9355.638
G2 (717) = 689.77, p = 0.7613
RMSEA = 0, CFI = NaN, TLI = NaN

----------
GROUP: Boy 
         F1     h2
auth1 0.206 0.0425
auth2 0.722 0.5220
auth3 0.526 0.2764
auth4 0.419 0.1755
auth5 0.484 0.2347
auth6 0.696 0.4844
auth7 0.688 0.4736
auth8 0.580 0.3359

SS loadings:  2.545 
Proportion Var:  0.318 

Factor correlations: 

   F1
F1  1

----------
GROUP: Girl 
         F1     h2
auth1 0.252 0.0635
auth2 0.597 0.3561
auth3 0.645 0.4158
auth4 0.396 0.1566
auth5 0.390 0.1524
auth6 0.816 0.6657
auth7 0.620 0.3841
auth8 0.768 0.5901

SS loadings:  2.784 
Proportion Var:  0.348 

Factor correlations: 

   F1
F1  1

----------
GROUP: Neither 
         F1    h2
auth1 0.755 0.570
auth2 0.769 0.591
auth3 0.807 0.652
auth4 0.714 0.510
auth5 0.721 0.520
auth6 0.721 0.521
auth7 0.781 0.610
auth8 0.658 0.433

SS loadings:  4.407 
Proportion Var:  0.551 

Factor correlations: 

   F1
F1  1
            M2 df            p      RMSEA    RMSEA_5   RMSEA_95  SRMSR.Boy SRMSR.Girl
stats 142.1806 60 1.267373e-08 0.03675277 0.02897441 0.04456401 0.07989586 0.07859816
      SRMSR.Neither       TLI       CFI
stats    0.03363645 0.9518727 0.9656233
Iteration: 1, Log-Lik: -4778.313, Max-Change: 0.45670Iteration: 2, Log-Lik: -4660.163, Max-Change: 0.27691Iteration: 3, Log-Lik: -4634.899, Max-Change: 0.16554Iteration: 4, Log-Lik: -4627.413, Max-Change: 0.08798Iteration: 5, Log-Lik: -4625.054, Max-Change: 0.05125Iteration: 6, Log-Lik: -4624.233, Max-Change: 0.02953Iteration: 7, Log-Lik: -4623.832, Max-Change: 0.01129Iteration: 8, Log-Lik: -4623.766, Max-Change: 0.00842Iteration: 9, Log-Lik: -4623.735, Max-Change: 0.00654Iteration: 10, Log-Lik: -4623.709, Max-Change: 0.00401Iteration: 11, Log-Lik: -4623.705, Max-Change: 0.00257Iteration: 12, Log-Lik: -4623.703, Max-Change: 0.00385Iteration: 13, Log-Lik: -4623.701, Max-Change: 0.00203Iteration: 14, Log-Lik: -4623.700, Max-Change: 0.00043Iteration: 15, Log-Lik: -4623.700, Max-Change: 0.00022Iteration: 16, Log-Lik: -4623.700, Max-Change: 0.00014Iteration: 17, Log-Lik: -4623.700, Max-Change: 0.00013Iteration: 18, Log-Lik: -4623.700, Max-Change: 0.00058Iteration: 19, Log-Lik: -4623.700, Max-Change: 0.00034Iteration: 20, Log-Lik: -4623.700, Max-Change: 0.00010

Call:
multipleGroup(data = irt_data_4, model = 1, group = group_4, 
    invariance = c("slopes"))

Full-information item factor analysis with 1 factor(s).
Converged within 1e-04 tolerance after 20 EM iterations.
mirt version: 1.41 
M-step optimizer: BFGS 
EM acceleration: Ramsay 
Number of rectangular quadrature: 61
Latent density type: Gaussian 

Log-likelihood = -4623.7
Estimated parameters: 48 
AIC = 9311.4
BIC = 9468.924; SABIC = 9367.289
G2 (733) = 761.37, p = 0.2269
RMSEA = 0.006, CFI = NaN, TLI = NaN

----------
GROUP: Boy 
         F1    h2
auth1 0.597 0.357
auth2 0.727 0.528
auth3 0.755 0.570
auth4 0.618 0.382
auth5 0.646 0.417
auth6 0.700 0.490
auth7 0.735 0.540
auth8 0.635 0.403

SS loadings:  3.687 
Proportion Var:  0.461 

Factor correlations: 

   F1
F1  1

----------
GROUP: Girl 
         F1    h2
auth1 0.597 0.357
auth2 0.727 0.528
auth3 0.755 0.570
auth4 0.618 0.382
auth5 0.646 0.417
auth6 0.700 0.490
auth7 0.735 0.540
auth8 0.635 0.403

SS loadings:  3.687 
Proportion Var:  0.461 

Factor correlations: 

   F1
F1  1

----------
GROUP: Neither 
         F1    h2
auth1 0.597 0.357
auth2 0.727 0.528
auth3 0.755 0.570
auth4 0.618 0.382
auth5 0.646 0.417
auth6 0.700 0.490
auth7 0.735 0.540
auth8 0.635 0.403

SS loadings:  3.687 
Proportion Var:  0.461 

Factor correlations: 

   F1
F1  1
            M2 df p      RMSEA    RMSEA_5   RMSEA_95 SRMSR.Boy SRMSR.Girl SRMSR.Neither       TLI
stats 228.6754 76 0 0.04451011 0.03793576 0.05116879 0.1401852    0.12958    0.07081248 0.9294123
            CFI
stats 0.9361349
                      AIC    SABIC       HQ      BIC    logLik     X2 df p
mod_metric_4     9311.400 9367.289 9371.227 9468.924 -4623.700            
mod_configural_4 9271.803 9355.638 9361.543 9508.090 -4587.901 71.597 16 0
Iteration: 1, Log-Lik: -4778.313, Max-Change: 0.43693Iteration: 2, Log-Lik: -4661.732, Max-Change: 0.24912Iteration: 3, Log-Lik: -4646.957, Max-Change: 0.11057Iteration: 4, Log-Lik: -4644.566, Max-Change: 0.05437Iteration: 5, Log-Lik: -4643.745, Max-Change: 0.03352Iteration: 6, Log-Lik: -4643.274, Max-Change: 0.02249Iteration: 7, Log-Lik: -4642.647, Max-Change: 0.02692Iteration: 8, Log-Lik: -4642.331, Max-Change: 0.01570Iteration: 9, Log-Lik: -4642.140, Max-Change: 0.01241Iteration: 10, Log-Lik: -4641.801, Max-Change: 0.03746Iteration: 11, Log-Lik: -4641.403, Max-Change: 0.01352Iteration: 12, Log-Lik: -4641.324, Max-Change: 0.00975Iteration: 13, Log-Lik: -4641.186, Max-Change: 0.01518Iteration: 14, Log-Lik: -4641.104, Max-Change: 0.00897Iteration: 15, Log-Lik: -4641.063, Max-Change: 0.00734Iteration: 16, Log-Lik: -4640.997, Max-Change: 0.01671Iteration: 17, Log-Lik: -4640.908, Max-Change: 0.00881Iteration: 18, Log-Lik: -4640.888, Max-Change: 0.00643Iteration: 19, Log-Lik: -4640.859, Max-Change: 0.00843Iteration: 20, Log-Lik: -4640.840, Max-Change: 0.00600Iteration: 21, Log-Lik: -4640.829, Max-Change: 0.00507Iteration: 22, Log-Lik: -4640.814, Max-Change: 0.01133Iteration: 23, Log-Lik: -4640.788, Max-Change: 0.00615Iteration: 24, Log-Lik: -4640.781, Max-Change: 0.00450Iteration: 25, Log-Lik: -4640.773, Max-Change: 0.00557Iteration: 26, Log-Lik: -4640.768, Max-Change: 0.00402Iteration: 27, Log-Lik: -4640.764, Max-Change: 0.00351Iteration: 28, Log-Lik: -4640.759, Max-Change: 0.00824Iteration: 29, Log-Lik: -4640.750, Max-Change: 0.00427Iteration: 30, Log-Lik: -4640.747, Max-Change: 0.00309Iteration: 31, Log-Lik: -4640.744, Max-Change: 0.00367Iteration: 32, Log-Lik: -4640.742, Max-Change: 0.00271Iteration: 33, Log-Lik: -4640.741, Max-Change: 0.00239Iteration: 34, Log-Lik: -4640.739, Max-Change: 0.00577Iteration: 35, Log-Lik: -4640.735, Max-Change: 0.00290Iteration: 36, Log-Lik: -4640.734, Max-Change: 0.00208Iteration: 37, Log-Lik: -4640.733, Max-Change: 0.00241Iteration: 38, Log-Lik: -4640.732, Max-Change: 0.00180Iteration: 39, Log-Lik: -4640.731, Max-Change: 0.00160Iteration: 40, Log-Lik: -4640.730, Max-Change: 0.00389Iteration: 41, Log-Lik: -4640.729, Max-Change: 0.00192Iteration: 42, Log-Lik: -4640.728, Max-Change: 0.00139Iteration: 43, Log-Lik: -4640.728, Max-Change: 0.00162Iteration: 44, Log-Lik: -4640.727, Max-Change: 0.00119Iteration: 45, Log-Lik: -4640.727, Max-Change: 0.00107Iteration: 46, Log-Lik: -4640.726, Max-Change: 0.00262Iteration: 47, Log-Lik: -4640.726, Max-Change: 0.00128Iteration: 48, Log-Lik: -4640.725, Max-Change: 0.00091Iteration: 49, Log-Lik: -4640.725, Max-Change: 0.00105Iteration: 50, Log-Lik: -4640.725, Max-Change: 0.00077Iteration: 51, Log-Lik: -4640.725, Max-Change: 0.00070Iteration: 52, Log-Lik: -4640.724, Max-Change: 0.00175Iteration: 53, Log-Lik: -4640.724, Max-Change: 0.00084Iteration: 54, Log-Lik: -4640.724, Max-Change: 0.00060Iteration: 55, Log-Lik: -4640.724, Max-Change: 0.00069Iteration: 56, Log-Lik: -4640.723, Max-Change: 0.00050Iteration: 57, Log-Lik: -4640.723, Max-Change: 0.00046Iteration: 58, Log-Lik: -4640.723, Max-Change: 0.00115Iteration: 59, Log-Lik: -4640.723, Max-Change: 0.00055Iteration: 60, Log-Lik: -4640.723, Max-Change: 0.00039Iteration: 61, Log-Lik: -4640.723, Max-Change: 0.00047Iteration: 62, Log-Lik: -4640.723, Max-Change: 0.00033Iteration: 63, Log-Lik: -4640.723, Max-Change: 0.00030Iteration: 64, Log-Lik: -4640.723, Max-Change: 0.00076Iteration: 65, Log-Lik: -4640.722, Max-Change: 0.00036Iteration: 66, Log-Lik: -4640.722, Max-Change: 0.00025Iteration: 67, Log-Lik: -4640.722, Max-Change: 0.00030Iteration: 68, Log-Lik: -4640.722, Max-Change: 0.00022Iteration: 69, Log-Lik: -4640.722, Max-Change: 0.00019Iteration: 70, Log-Lik: -4640.722, Max-Change: 0.00050Iteration: 71, Log-Lik: -4640.722, Max-Change: 0.00024Iteration: 72, Log-Lik: -4640.722, Max-Change: 0.00016Iteration: 73, Log-Lik: -4640.722, Max-Change: 0.00018Iteration: 74, Log-Lik: -4640.722, Max-Change: 0.00013Iteration: 75, Log-Lik: -4640.722, Max-Change: 0.00013Iteration: 76, Log-Lik: -4640.722, Max-Change: 0.00027Iteration: 77, Log-Lik: -4640.722, Max-Change: 0.00015Iteration: 78, Log-Lik: -4640.722, Max-Change: 0.00011Iteration: 79, Log-Lik: -4640.722, Max-Change: 0.00014Iteration: 80, Log-Lik: -4640.722, Max-Change: 0.00009

Call:
multipleGroup(data = irt_data_4, model = 1, group = group_4, 
    invariance = c("slopes", "intercepts", "free_var", "free_means"))

Full-information item factor analysis with 1 factor(s).
Converged within 1e-04 tolerance after 80 EM iterations.
mirt version: 1.41 
M-step optimizer: nlminb 
EM acceleration: Ramsay 
Number of rectangular quadrature: 61
Latent density type: Gaussian 

Log-likelihood = -4640.722
Estimated parameters: 52 
AIC = 9321.444
BIC = 9419.897; SABIC = 9356.375
G2 (745) = 795.41, p = 0.0977
RMSEA = 0.008, CFI = NaN, TLI = NaN

----------
GROUP: Boy 
         F1    h2
auth1 0.493 0.243
auth2 0.641 0.411
auth3 0.643 0.413
auth4 0.528 0.279
auth5 0.512 0.262
auth6 0.595 0.354
auth7 0.648 0.420
auth8 0.536 0.287

SS loadings:  2.669 
Proportion Var:  0.334 

Factor correlations: 

   F1
F1  1

----------
GROUP: Girl 
         F1    h2
auth1 0.508 0.258
auth2 0.656 0.431
auth3 0.658 0.433
auth4 0.544 0.296
auth5 0.527 0.278
auth6 0.611 0.373
auth7 0.663 0.440
auth8 0.551 0.304

SS loadings:  2.811 
Proportion Var:  0.351 

Factor correlations: 

   F1
F1  1

----------
GROUP: Neither 
         F1    h2
auth1 0.641 0.410
auth2 0.776 0.602
auth3 0.778 0.605
auth4 0.676 0.457
auth5 0.660 0.435
auth6 0.737 0.544
auth7 0.782 0.611
auth8 0.683 0.466

SS loadings:  4.13 
Proportion Var:  0.516 

Factor correlations: 

   F1
F1  1
            M2 df p      RMSEA    RMSEA_5   RMSEA_95  SRMSR.Boy SRMSR.Girl SRMSR.Neither       TLI
stats 284.4465 88 0 0.04692042 0.04086998 0.05304369 0.09404721 0.09464901    0.04866147 0.9215604
            CFI
stats 0.9178251
                      AIC    SABIC       HQ      BIC    logLik      X2 df p
mod_scalar2_4    9321.444 9356.375 9358.836 9419.897 -4640.722             
mod_configural_4 9271.803 9355.638 9361.543 9508.090 -4587.901 105.641 28 0
Iteration: 1, Log-Lik: -4778.313, Max-Change: 0.43694Iteration: 2, Log-Lik: -4663.561, Max-Change: 0.25022Iteration: 3, Log-Lik: -4649.655, Max-Change: 0.10862Iteration: 4, Log-Lik: -4647.782, Max-Change: 0.05140Iteration: 5, Log-Lik: -4647.343, Max-Change: 0.03246Iteration: 6, Log-Lik: -4647.185, Max-Change: 0.02098Iteration: 7, Log-Lik: -4647.106, Max-Change: 0.01591Iteration: 8, Log-Lik: -4647.070, Max-Change: 0.01184Iteration: 9, Log-Lik: -4647.049, Max-Change: 0.00968Iteration: 10, Log-Lik: -4647.030, Max-Change: 0.01417Iteration: 11, Log-Lik: -4647.016, Max-Change: 0.00847Iteration: 12, Log-Lik: -4647.009, Max-Change: 0.00658Iteration: 13, Log-Lik: -4647.001, Max-Change: 0.01000Iteration: 14, Log-Lik: -4646.993, Max-Change: 0.00604Iteration: 15, Log-Lik: -4646.989, Max-Change: 0.00486Iteration: 16, Log-Lik: -4646.984, Max-Change: 0.00891Iteration: 17, Log-Lik: -4646.978, Max-Change: 0.00490Iteration: 18, Log-Lik: -4646.976, Max-Change: 0.00384Iteration: 19, Log-Lik: -4646.972, Max-Change: 0.00587Iteration: 20, Log-Lik: -4646.969, Max-Change: 0.00364Iteration: 21, Log-Lik: -4646.968, Max-Change: 0.00303Iteration: 22, Log-Lik: -4646.966, Max-Change: 0.00647Iteration: 23, Log-Lik: -4646.963, Max-Change: 0.00331Iteration: 24, Log-Lik: -4646.961, Max-Change: 0.00253Iteration: 25, Log-Lik: -4646.960, Max-Change: 0.00333Iteration: 26, Log-Lik: -4646.959, Max-Change: 0.00227Iteration: 27, Log-Lik: -4646.958, Max-Change: 0.00197Iteration: 28, Log-Lik: -4646.957, Max-Change: 0.00480Iteration: 29, Log-Lik: -4646.955, Max-Change: 0.00229Iteration: 30, Log-Lik: -4646.955, Max-Change: 0.00166Iteration: 31, Log-Lik: -4646.954, Max-Change: 0.00189Iteration: 32, Log-Lik: -4646.954, Max-Change: 0.00143Iteration: 33, Log-Lik: -4646.953, Max-Change: 0.00126Iteration: 34, Log-Lik: -4646.953, Max-Change: 0.00316Iteration: 35, Log-Lik: -4646.952, Max-Change: 0.00149Iteration: 36, Log-Lik: -4646.952, Max-Change: 0.00109Iteration: 37, Log-Lik: -4646.952, Max-Change: 0.00124Iteration: 38, Log-Lik: -4646.951, Max-Change: 0.00093Iteration: 39, Log-Lik: -4646.951, Max-Change: 0.00083Iteration: 40, Log-Lik: -4646.951, Max-Change: 0.00206Iteration: 41, Log-Lik: -4646.951, Max-Change: 0.00099Iteration: 42, Log-Lik: -4646.951, Max-Change: 0.00070Iteration: 43, Log-Lik: -4646.950, Max-Change: 0.00079Iteration: 44, Log-Lik: -4646.950, Max-Change: 0.00059Iteration: 45, Log-Lik: -4646.950, Max-Change: 0.00053Iteration: 46, Log-Lik: -4646.950, Max-Change: 0.00133Iteration: 47, Log-Lik: -4646.950, Max-Change: 0.00065Iteration: 48, Log-Lik: -4646.950, Max-Change: 0.00045Iteration: 49, Log-Lik: -4646.950, Max-Change: 0.00050Iteration: 50, Log-Lik: -4646.950, Max-Change: 0.00038Iteration: 51, Log-Lik: -4646.950, Max-Change: 0.00034Iteration: 52, Log-Lik: -4646.950, Max-Change: 0.00087Iteration: 53, Log-Lik: -4646.950, Max-Change: 0.00042Iteration: 54, Log-Lik: -4646.950, Max-Change: 0.00029Iteration: 55, Log-Lik: -4646.950, Max-Change: 0.00032Iteration: 56, Log-Lik: -4646.950, Max-Change: 0.00025Iteration: 57, Log-Lik: -4646.950, Max-Change: 0.00022Iteration: 58, Log-Lik: -4646.949, Max-Change: 0.00057Iteration: 59, Log-Lik: -4646.949, Max-Change: 0.00027Iteration: 60, Log-Lik: -4646.949, Max-Change: 0.00019Iteration: 61, Log-Lik: -4646.949, Max-Change: 0.00023Iteration: 62, Log-Lik: -4646.949, Max-Change: 0.00016Iteration: 63, Log-Lik: -4646.949, Max-Change: 0.00014Iteration: 64, Log-Lik: -4646.949, Max-Change: 0.00036Iteration: 65, Log-Lik: -4646.949, Max-Change: 0.00018Iteration: 66, Log-Lik: -4646.949, Max-Change: 0.00011Iteration: 67, Log-Lik: -4646.949, Max-Change: 0.00013Iteration: 68, Log-Lik: -4646.949, Max-Change: 0.00010Iteration: 69, Log-Lik: -4646.949, Max-Change: 0.00009

Call:
multipleGroup(data = irt_data_4, model = 1, group = group_4, 
    invariance = c("slopes", "intercepts", "free_var"))

Full-information item factor analysis with 1 factor(s).
Converged within 1e-04 tolerance after 69 EM iterations.
mirt version: 1.41 
M-step optimizer: nlminb 
EM acceleration: Ramsay 
Number of rectangular quadrature: 61
Latent density type: Gaussian 

Log-likelihood = -4646.949
Estimated parameters: 50 
AIC = 9329.899
BIC = 9418.506; SABIC = 9361.337
G2 (747) = 807.87, p = 0.0604
RMSEA = 0.009, CFI = NaN, TLI = NaN

----------
GROUP: Boy 
         F1    h2
auth1 0.510 0.260
auth2 0.644 0.415
auth3 0.663 0.440
auth4 0.536 0.287
auth5 0.534 0.285
auth6 0.591 0.349
auth7 0.653 0.426
auth8 0.536 0.287

SS loadings:  2.749 
Proportion Var:  0.344 

Factor correlations: 

   F1
F1  1

----------
GROUP: Girl 
         F1    h2
auth1 0.519 0.269
auth2 0.653 0.426
auth3 0.672 0.451
auth4 0.545 0.297
auth5 0.542 0.294
auth6 0.600 0.360
auth7 0.661 0.437
auth8 0.544 0.296

SS loadings:  2.831 
Proportion Var:  0.354 

Factor correlations: 

   F1
F1  1

----------
GROUP: Neither 
         F1    h2
auth1 0.648 0.420
auth2 0.771 0.594
auth3 0.786 0.618
auth4 0.674 0.454
auth5 0.671 0.451
auth6 0.725 0.526
auth7 0.778 0.605
auth8 0.673 0.454

SS loadings:  4.121 
Proportion Var:  0.515 

Factor correlations: 

   F1
F1  1
            M2 df p      RMSEA    RMSEA_5   RMSEA_95  SRMSR.Boy SRMSR.Girl SRMSR.Neither       TLI
stats 301.9401 90 0 0.04819105 0.04223712 0.05421704 0.09622546 0.09622447    0.04661441 0.9172545
            CFI
stats 0.9113441
                      AIC    SABIC       HQ      BIC    logLik      X2 df p
mod_scalar1_4    9329.899 9361.337 9363.551 9418.506 -4646.949             
mod_configural_4 9271.803 9355.638 9361.543 9508.090 -4587.901 118.096 30 0
Iteration: 1, Log-Lik: -4778.313, Max-Change: 0.43757Iteration: 2, Log-Lik: -4690.238, Max-Change: 0.25498Iteration: 3, Log-Lik: -4667.274, Max-Change: 0.14499Iteration: 4, Log-Lik: -4660.577, Max-Change: 0.08455Iteration: 5, Log-Lik: -4658.469, Max-Change: 0.04959Iteration: 6, Log-Lik: -4657.783, Max-Change: 0.02913Iteration: 7, Log-Lik: -4657.492, Max-Change: 0.01210Iteration: 8, Log-Lik: -4657.452, Max-Change: 0.00721Iteration: 9, Log-Lik: -4657.436, Max-Change: 0.00419Iteration: 10, Log-Lik: -4657.430, Max-Change: 0.00200Iteration: 11, Log-Lik: -4657.428, Max-Change: 0.00120Iteration: 12, Log-Lik: -4657.428, Max-Change: 0.00083Iteration: 13, Log-Lik: -4657.427, Max-Change: 0.00037Iteration: 14, Log-Lik: -4657.427, Max-Change: 0.00057Iteration: 15, Log-Lik: -4657.427, Max-Change: 0.00035Iteration: 16, Log-Lik: -4657.427, Max-Change: 0.00020Iteration: 17, Log-Lik: -4657.427, Max-Change: 0.00014Iteration: 18, Log-Lik: -4657.427, Max-Change: 0.00009

Call:
multipleGroup(data = irt_data_4, model = 1, group = group_4, 
    invariance = c("slopes", "intercepts"))

Full-information item factor analysis with 1 factor(s).
Converged within 1e-04 tolerance after 18 EM iterations.
mirt version: 1.41 
M-step optimizer: BFGS 
EM acceleration: Ramsay 
Number of rectangular quadrature: 61
Latent density type: Gaussian 

Log-likelihood = -4657.427
Estimated parameters: 48 
AIC = 9346.854
BIC = 9425.616; SABIC = 9374.799
G2 (749) = 828.82, p = 0.0222
RMSEA = 0.01, CFI = NaN, TLI = NaN

----------
GROUP: Boy 
         F1    h2
auth1 0.585 0.342
auth2 0.729 0.531
auth3 0.741 0.550
auth4 0.617 0.381
auth5 0.629 0.396
auth6 0.693 0.481
auth7 0.735 0.540
auth8 0.634 0.402

SS loadings:  3.621 
Proportion Var:  0.453 

Factor correlations: 

   F1
F1  1

----------
GROUP: Girl 
         F1    h2
auth1 0.585 0.342
auth2 0.729 0.531
auth3 0.741 0.550
auth4 0.617 0.381
auth5 0.629 0.396
auth6 0.693 0.481
auth7 0.735 0.540
auth8 0.634 0.402

SS loadings:  3.621 
Proportion Var:  0.453 

Factor correlations: 

   F1
F1  1

----------
GROUP: Neither 
         F1    h2
auth1 0.585 0.342
auth2 0.729 0.531
auth3 0.741 0.550
auth4 0.617 0.381
auth5 0.629 0.396
auth6 0.693 0.481
auth7 0.735 0.540
auth8 0.634 0.402

SS loadings:  3.621 
Proportion Var:  0.453 

Factor correlations: 

   F1
F1  1
            M2 df p      RMSEA   RMSEA_5   RMSEA_95 SRMSR.Boy SRMSR.Girl SRMSR.Neither       TLI
stats 331.2999 92 0 0.05064754 0.0448082 0.05655815 0.1289658  0.1205844     0.0707973 0.9086037
            CFI
stats 0.8998993
                         AIC    SABIC       HQ      BIC    logLik      X2 df p
mod_fullconstrain_4 9346.854 9374.799 9376.767 9425.616 -4657.427             
mod_configural_4    9271.803 9355.638 9361.543 9508.090 -4587.901 139.051 32 0
                      AIC    SABIC       HQ      BIC    logLik     X2 df p
mod_metric_4     9311.400 9367.289 9371.227 9468.924 -4623.700            
mod_configural_4 9271.803 9355.638 9361.543 9508.090 -4587.901 71.597 16 0
                   AIC    SABIC       HQ      BIC    logLik     X2 df     p
mod_scalar2_4 9321.444 9356.375 9358.836 9419.897 -4640.722                
mod_metric_4  9311.400 9367.289 9371.227 9468.924 -4623.700 34.044 12 0.001
                   AIC    SABIC       HQ      BIC    logLik     X2 df     p
mod_scalar1_4 9329.899 9361.337 9363.551 9418.506 -4646.949                
mod_scalar2_4 9321.444 9356.375 9358.836 9419.897 -4640.722 12.455  2 0.002
                         AIC    SABIC       HQ      BIC    logLik     X2 df p
mod_fullconstrain_4 9346.854 9374.799 9376.767 9425.616 -4657.427            
mod_scalar1_4       9329.899 9361.337 9363.551 9418.506 -4646.949 20.955  2 0
                         AIC    SABIC       HQ      BIC    logLik     X2 df     p
mod_fullconstrain_4 9346.854 9374.799 9376.767 9425.616 -4657.427                
mod_scalar1_4       9329.899 9361.337 9363.551 9418.506 -4646.949 20.955  2     0
mod_scalar2_4       9321.444 9356.375 9358.836 9419.897 -4640.722 12.455  2 0.002
mod_metric_4        9311.400 9367.289 9371.227 9468.924 -4623.700 34.044 12 0.001
mod_configural_4    9271.803 9355.638 9361.543 9508.090 -4587.901 71.597 16     0
